A remark on the existence of entire positive solutions for a class of semilinear elliptic systems

被引：29
|
作者：
Li, Hong [1 ]
Zhang, Pei [1 ]
Zhang, Zhijun [1 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 01期
关键词：
Semilinear elliptic systems; Entire solutions; Existence;
D O I：
10.1016/j.jmaa.2009.10.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under the simple conditions on f and g, we show that entire positive radial solutions exist for the semilinear elliptic system Delta u = p(vertical bar x vertical bar)f (v), Delta v = q(vertical bar x vertical bar)g(u), x is an element of R-N, N >= 3. where the functions p, q : [0, infinity) -> [0, infinity) are continuous. (C) 2009 Elsevier Inc. All rights reserved.
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页码：338 / 341
页数：4
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